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14002945824 = 253741508237
BaseRepresentation
bin11010000101010001…
…11111111100100000
31100010220000100111010
431002220333330200
5212134223231244
610233255420520
71004002034640
oct150250777440
940126010433
1014002945824
115a363304aa
122869684740
13142210097a
1496ba42520
1556e515eb9
hex342a3ff20

14002945824 has 96 divisors (see below), whose sum is σ = 43033527936. Its totient is φ = 3903252480.

The previous prime is 14002945823. The next prime is 14002945843. The reversal of 14002945824 is 42854920041.

14002945824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (14002945823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226567 + ... + 281670.

It is an arithmetic number, because the mean of its divisors is an integer number (448265916).

Almost surely, 214002945824 is an apocalyptic number.

14002945824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14002945824 is an abundant number, since it is smaller than the sum of its proper divisors (29030582112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14002945824 is a wasteful number, since it uses less digits than its factorization.

14002945824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508298 (or 508290 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 14002945824 in words is "fourteen billion, two million, nine hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 27552 508237 1016474 1524711 2032948 3049422 3557659 4065896 6098844 7115318 8131792 10672977 12197688 14230636 16263584 20837717 21345954 24395376 28461272 41675434 42691908 48790752 56922544 62513151 83350868 85383816 113845088 125026302 145864019 166701736 170767632 250052604 291728038 333403472 341535264 437592057 500105208 583456076 666806944 875184114 1000210416 1166912152 1750368228 2000420832 2333824304 3500736456 4667648608 7001472912 14002945824